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Scale anomalies in nonrelativistic field theories in 2 + 1 dimensions

Scale anomalies in nonrelativistic field theories in 2 + 1 dimensions

From the one-loop effective potential for a gas of nonrelativistic bosons in two spatial dimensions interacting via a $\ensuremath{\delta}$-function potential at zero temperature and finite chemical potential, the anomaly of the energy-momentum tensor follows directly. It is also similarly derived when the bosons have an additional Chern-Simons interaction. In the …